You need to use the de Broglie expression to get an object's wavelength:
#sf(lambda=h/(mv))#
#sf(lambda)# is the wavelength
#sf(h)# is the Planck Constant = #sf(6.63xx10^(-34)color(white)(x)Js)#
#sf(m)# is the mass
#sf(v)# is the velocity
You need to get everything into standard units.
#sf(1000color(white)(x)"g"=1"kg")#
#:.##sf(m=145color(white)(x)"g"=145/1000kg=0.145color(white)(x)kg)#
#sf(60s=1"min")#
#sf(60min=1hr)#
#:.##sf(1hr=60xx60=3600s)#
#sf(1000m=1km)#
#:.##sf(v=(141,000)/(3600)=39.16color(white)(x)"m/s")#
Now put in the numbers:
#sf(lambda=(6.63xx10^(-34))/(0.145xx39.16)m)#
#sf(lambda=1.167xx10^(-34)color(white)(x)m)#
#sf(1nm=10^(-9)m)#
To convert m to nm we divide by #sf(10^(-9)rArr)#
#sf(lambda=(1.167xx10^(-34))/(10^(-9))=1.17xx10^(-25)color(white)(x)nm)#
